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In: Physics

A doughnut contains about 280 Calories. (Note: These are "food" Calories.) After eating this doughnut, you...

A doughnut contains about 280 Calories. (Note: These are "food" Calories.) After eating this doughnut, you decide to compensate by taking the stairs instead of using the elevator. If each stair has a height of 18 cm, how many stairs must you climb to compensate for the doughnut? Assume all the energy in the doughnut can be converted to mechanical energy. (Take 75 kg as the mass of a typical person.)

Solutions

Expert Solution

G

Energy of a doughnut, E = 280 cal

                                        = 280 * 4.186 J

                                        = 1172 J

    Height of each stair, h = 0.18 m

    Mass of the person, M = 75 kg

    No. of stairs, n = ?

    Potential energy of the person = Energy of thedoughnut

                M g ( n h ) = E

                 75 * 9.8 * n * 0.18 = 1172

    No. of stairs, n = 8.85

                          = 9

genius_generous answered 6 months ago
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